1. What Are Equivalent Fractions?

Equivalent fractions are different fractions that represent the same value or proportion of the whole. They are obtained by multiplying or dividing both the numerator and denominator by the same non-zero number.

2. How Does the Calculator Work?

The calculator uses the equivalent fractions formula:

Where:

• \( a \) — Original numerator (unitless)
• \( b \) — Original denominator (unitless)
• \( k \) — Multiplier (unitless)

Explanation: Multiplying both numerator and denominator by the same number creates a new fraction with the same value as the original.

3. Importance of Equivalent Fractions

Details: Understanding equivalent fractions is fundamental in simplifying fractions, comparing fractions, adding and subtracting fractions with different denominators, and solving proportion problems.

4. Using the Calculator

Tips: Enter the original numerator and denominator (b must be non-zero), and the multiplier (k must be positive). The calculator will show the equivalent fraction.

5. Frequently Asked Questions (FAQ)

Q1: Can k be any number?
A: k can be any non-zero real number, but must be positive to keep the fraction positive.

Q2: How is this different from simplifying fractions?
A: Simplifying uses division (k < 1) while this calculator focuses on creating equivalent fractions through multiplication.

Q3: Can I use decimal numbers?
A: Yes, the calculator accepts decimal values for all inputs.

Q4: What if I want multiple equivalent fractions?
A: Run the calculator multiple times with different k values.

Q5: Are all equivalent fractions infinite?
A: Yes, for any fraction, there are infinitely many equivalent fractions obtained by multiplying numerator and denominator by different k values.